
\begin{tikzpicture}[scale=.6]
  \tkzDefPoints{
    0/0/P,-5/{-5/sqrt(3)}/A,5/{-5/sqrt(3)}/B,
    0/-2/Q,3/{-sqrt(3)}/N}
  \tkzDefLine[orthogonal=through Q](P,Q) \tkzGetPoint{q}
  \tkzInterLL(Q,q)(P,A) \tkzGetPoint{M'}
  \tkzInterLL(Q,q)(P,B) \tkzGetPoint{N'}
  \tkzInterLL(Q,N)(P,A) \tkzGetPoint{M}
  \tkzDrawSegments(P,A P,B M,N)
  \tkzDrawLine[add=0 and .2](P,Q)
  \tkzDrawPoints(P,Q,M,N)
  \tkzLabelPoints[below](A,B)
  \tkzLabelPoints[above](P,M,N)
  \tkzLabelPoints[below right](Q)
\end{tikzpicture}
